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Finding the Fourth Proportional to 118,580.98, 177,858.30 and 29,834.50

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Solution

The fourth proportional to 118,580.98, 177,858.30 and 29,834.50 is: 44,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,580.98 : 177,858.30 = 29,834.50 : x
  2. Step 2: Convert to fraction form
    118,580.98/177,858.30 = 29,834.50/x
  3. Step 3: Cross multiply
    118,580.98x = 177,858.30 × 29,834.50
  4. Step 4: Simplify right side
    118,580.98x = 5,306,313,451.35
  5. Step 5: Solve for x
    x = 5,306,313,451.35/118,580.98
  6. Step 6: Final answer
    x = 44,748.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.